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Homoclinic orbits for some (2+1)-dimensional nonlinear Schrödinger-like equations

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  • Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

Received date: 2008-05-07

  Revised date: 2008-08-02

  Online published: 2008-10-01

Abstract

Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. In this paper, analytic expressions of homoclinic orbits for some (2+1)-dimensional nonlinear Schrödinger-like equations are constructed based on Hirota's bilinear method, including long wave-short wave resonance interaction equation, generalization of the Zakharov equation, Mel'nikov equation, and g-Schrödinger equation are constructed based on Hirota's bilinear method.

Cite this article

SHEN Shou-feng;ZHANG Jun . Homoclinic orbits for some (2+1)-dimensional nonlinear Schrödinger-like equations[J]. Applied Mathematics and Mechanics, 2008 , 29(10) : 1383 -1389 . DOI: 10.1007/s10483-008-1013-y

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